Nested dynamic memory allocator

Time, partitioning, and synchronization

Any time measuring method inevitably runs into the issues of partitioning and synchronization. Partitioning deals with the issue of dividing a larger measure into smaller measures, and combining smaller measures into a larger measure. Synchronization deals with the problem of how a set of devices can self-correct if some of them are corrupted. The two are fundamentally related because often a choice in one determines a choice in the other. A measure is often defined by a set of synchronization points, such as the radioactive decay of an element or the frequency of a crystal oscillator. Synchronization points can often be defined as a measure of a change in space, such as the revolution of a planet around a star, or the change in energy state of an oscillating structure. Fundamental to both is the notion of change. A synchronization event can only be defined if there is a unit of space in which a change is observed. And either the magnitude of the space is large (such as the movement of...

Individuality, creativity, and trust

Trust is an individual experience and a personal feeling. In a sense, trust only exists as a subjective experience. Objectively, the behaviors that manifest from trust are more akin to chemical reactions, where one's feelings of certainty in regard to one event trigger another event. The source of all trust is individual perception, and if one cannot trust their own senses, they can trust nothing. Fundamentally, the observation of natural events allows the mind to create an ordering. Such an ordering is often a direct reflection of the mechanical nature of the world. A feather falls when it is dropped. A pool of water evaporates in the sun. These certainties leave an impression on the human mind, and also set an expectation for human constructions. Subconsciously, individuals expect society to operate in a manner similar to nature. Just as a feather falls when it is dropped, they expect good deeds to be rewarded and bad deeds to be punished. One only has to observe a feather fallin...

Causality, Interaction, and Complexity

In a highly chaotic system, such as a high temperature gas, it is not ideal to use an atomic causal model. Instead, the effective causal model is to approximate to what extent each atom is interacting with every other atom. If we increase the temperature, then the number of atoms each atom interacts with should increase. As the temperature decreases, the number of atoms each atom interacts with should decrease. If we were to randomly sample any atom, then on average, the atom should interact with a set of atoms of a certain size. Instead of thinking in terms of conditional probabilities and causal implications, we think in terms of sets of interconnected events. And this is because it is not computationally effective to analyze chaotic systems in a linear manner. We can apply the same line of reasoning to sampling. If a system has a particular sampling rate, the inputs to the system are batched according to the sampling rate. In other words, the system cannot discern the ordering of ev...

Ideas by Alex Ahn

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